1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veseljchak [2.6K]
3 years ago
7

A real estate company owns 120 apartments which are fully occupied when the rent is $650 per month. Analytics indicate that for

each $25 increase in rent, 4 apartments will become unoccupied. What rent should be charged in order to obtain the largest gross income

Business
2 answers:
chubhunter [2.5K]3 years ago
6 0

Answer:

The rent that should be charged to maximize gross icome is $700.

Explanation:

The rent can be increased by $25 steps.

The rent equation can be written as,

Rent = 650 + 25x

The Apartments occupied will fall by 4 apartments everytime the rent is increased by $25.

The apartment occupancy equation can be written as,

Apparment occuoancy = 120 - 4x

Where, x is the number of times the rent is increased by $25.

The revenue will be,

Revenue = Rent * No of apartments occupied

Revenue = (650 + 25x) * (120 - 4x)

Solving the equation we get quadratic equation,

Revenue = 78000 - 2600x + 3000x - 100x²

0 = 78000 + 400x - 100x²

As we need the change, we need to take the derivative of this equation.

d/dx = 0 + 1 * 400x° - 2 * 100x

400 - 200x = 0

400 = 200x

400 / 200 = x

x = 2

Thus, the rent that should be charged to amximize gross income is,

Rent = 650 + 25 * (2)  = $700 per apartment

The revenue at this rent will be,

Revenue = 700 * [120 - 4 * (2)] = $78400

Free_Kalibri [48]3 years ago
6 0

Answer:

Check the explanation

Explanation:

This is a question under Calculus <em><u>(which is another segment of mathematics and it is utilized for understanding the changes between values that are related by a function.  Calculus is used in a lot of diverse fields of study such as astronomy, physics, biology, economics, medicine, engineering and sociology).</u></em>

The step by step solution to the above question can be seen in the attached image below:

You might be interested in
Lester lent money to The Corner Store by purchasing bonds issued by the store. The rate of return that he and the other lenders
Alexxx [7]

Answer:

The correct answer is letter "E": cost of debt.

Explanation:

The cost of debt is the interest a company pays on its borrowings. It is expressed as a percentage rate. Also, the cost of debt can be calculated as a before-tax rate or an after-tax rate. Before interest is deductible for income taxes, the cost of debt is usually expressed as an after-tax rate.

7 0
3 years ago
You just won the Powerball and are offered two payment options: 1) Receiving $80 million per year for 25 years beginning at next
laila [671]

Answer: $80 million per year for 25 years

Explanation:

The option you should choose is one that will guarantee you the highest present value.

This means that you need to discount the annual payment of $80 million per year for 25 years to find the present value. As you did not include a rate, we shall assume a rate of 8% for reference purposes.

The annual payment is an annuity so the present value can be calculated by:

Present value of annuity = Annuity payment * Present value interest factor, rate, no. of years

= 80,000,000 * Present value interest factor, 8%, 25 years

= 80,000,000 * 10.6748

= $‭853,984,000‬

<em>The present value of the annual payment is more than the present value of the $850 million received today so the Annual payment should be taken. </em>

7 0
3 years ago
What is inflation?
timurjin [86]
I think it’s A sorry if wrong
6 0
3 years ago
A company offers ID theft protection using leads obtained from client banks. Three employees work 40 hours a week on the leads,
photoshop1234 [79]

Answer: MFP= 4.00±0.01

Explanation:

8 0
3 years ago
Read 2 more answers
Several years ago the jakob company sold a $1,000 par value bond that now has 20 years to maturity and a 7.00% annual coupon tha
Triss [41]
<span>If several years ago, the Jakob company sold a $1,000 par value bond that now has 20 years to maturity and a 7.00% annual coupon that is paid semiannually, then the after-tax cost of debt of the firm will be 4.65%.</span>
8 0
3 years ago
Other questions:
  • Understanding a target customer base allows a company to
    11·1 answer
  • An example of contractionary (taking money away from the general population) fiscal policy would be :
    14·1 answer
  • For which of the following would major medical coverage be useful?
    11·1 answer
  • Which of the following best explains why the demand for housing is more flexible than the supply? A. New housing developments ar
    14·2 answers
  • USE THIS INFORMATION FOR THE NEXT THREE QUESTIONS. On Jan. 1st Sally buys a computer with her credit card for $500. This transac
    12·1 answer
  • The transactions of Spade Company appear below. Kacy Spade, owner, invested $12,500 cash in the company in exchange for common s
    6·1 answer
  • Select the pairing that is correctly matched. A. Preferred stock: may be purchased by converting common stock shares into prefer
    15·1 answer
  • In the short run the Sure-Screen T-Shirt Company is producing 500 units of output. Its average variable costs are $2.00 and its
    9·1 answer
  • Someone who likes building, designing, or creating things probably has a(n) _____. A. Naturalistic learning styles b. Bodily/kin
    13·1 answer
  • Because saudi arabia and australia have ____, saudi arabia can specialize in the production of crude oil and petroleum products,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!